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v2007.11.26 - Convex Optimization

v2007.11.26 - Convex Optimization

v2007.11.26 - Convex Optimization

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5.9. BRIDGE: CONVEX POLYHEDRA TO EDMS 365Figure 92: Elliptope E 3 in isometrically isomorphic R 6 (projected on R 3 )is a convex body that appears to possess some kind of symmetry in thisdimension; it resembles a malformed pillow in the shape of a bulgingtetrahedron. Elliptope relative boundary is not smooth and comprises allset members (910) having at least one 0 eigenvalue. [175,2.1] This elliptopehas an infinity of vertices, but there are only four vertices corresponding toa rank-1 matrix. Those yy T , evident in the illustration, have binary vectory ∈ R 3 with entries in {±1}.

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